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Finding the Fourth Proportional to 26,588.87, 39,891.77 and 7,869.01

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Solution

The fourth proportional to 26,588.87, 39,891.77 and 7,869.01 is: 11,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.87 : 39,891.77 = 7,869.01 : x
  2. Step 2: Convert to fraction form
    26,588.87/39,891.77 = 7,869.01/x
  3. Step 3: Cross multiply
    26,588.87x = 39,891.77 × 7,869.01
  4. Step 4: Simplify right side
    26,588.87x = 313,908,737.05
  5. Step 5: Solve for x
    x = 313,908,737.05/26,588.87
  6. Step 6: Final answer
    x = 11,806.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.